If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =?
Solution:
It is given that a and b are independent events
P(A) = 0.38 and P(B) = 0.55
To find: the conditional probability P(A/B)
P(A | B) = P(A ∩ B) / P(B)
We know that by the rule of probability that P(A ∩ B) = P(A) × P(B)
Substituting the values
P(A | B) = [0.38 × 0.55]/ 0.55
So we get
P(A | B) = 0.38
Therefore, P(A | B) = 0.38
If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) =?
Summary:
If a and b are independent events with p(a) = 0.38 and p(b) = 0.55, then p(a | b) = 0.38
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